Distributive Properties of Q−neutrosophic Soft Quasigroups

Abstract

The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate
occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving
area of study that, in recent times, has attracted pools of researchers. Dierent researchers have dened the idea
of a Q-neutrosophic soft set under associative structures like groups, elds, rings, and modules. The distributive
and symmetric properties of the Q−neutrosophic soft quasigroup are examined in this study, which extends the
idea of a Q−neutrosophic soft set to a non-associative behaviour known as a quasigroup. Our ndings were
quite revealing. In particular, after dening Q−neutrosophic soft quasigroup in relation to the three binary
operations of product, right, and left division operations, it was found that these operations are distributive
over one another. Additionally, these binary operations are distributive over the operations of intersection,
union, AND, and OR. It was obtained that, Q−neutrosophic soft quasigroup does not obey the key laws, and
that the quasigroup is self-distributive with respect to the product, left, and right divisions. The eort which
is novel, has advanced the course of study in this emerging eld